| 具有最优自相关值四元序列的构造 |
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| 引用本文： | 衡子灵,岳勤. 具有最优自相关值四元序列的构造[J]. 徐州师范大学学报(自然科学版), 2014, 0(2): 30-34 |
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| 作者姓名： | 衡子灵 岳勤 |
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| 作者单位： | 南京航空航天大学理学院,江苏南京211100 |
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| 基金项目： | 国家自然科学基金资助项目（11171150） |
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| 摘 要： | 任给一个周期为正奇数p且具有最优自相关值的二元序列,构造出了周期为N=2np的四元序列,其自相关值为3值,其中n为任意正整数且gcd(2n,p)=1.特别地,当n=1时,这类四元序列具有最优的自相关值.对任意一个周期为p且关于Welch界最优的二元序列族,构造出了周期为2p的四元序列族且关于Welch界几乎最优.
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| 关 键 词： | 四元序列 二元序列 自相关值 序列族 Gray映射 Welch界 |
Constructions of quaternary sequences with ideal autocorrelation |
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| Heng Ziling,Yue Qin. Constructions of quaternary sequences with ideal autocorrelation[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2014, 0(2): 30-34 |
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| Authors: | Heng Ziling Yue Qin |
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| Affiliation: | (College of Science, Nanjing University of Aeronautics b- Astronautics, Nanjing 211100 ,Jiangsu, China) |
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| Abstract: | For an arbitrary binary sequence of odd period p with optimal autocorrelation ,quaternary sequences of pe-riod N= 2np with three-level autocorrelation values are constructed ,where n is an arbitrary positive integer and gcd（2n ,p）=1 .In particular ,if n=1 ,the quaternary sequence has optimal autocorrelation values .For a family of binary sequences of period p with optimal Welch bound ,a family of quaternary sequences of period 2 p with almost optimal Welch bound is constructed . |
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| Keywords: | quaternary sequence binary sequence autocorrelation value sequence family Gray mapping Welch bound |
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